Pushing the limits of EPD zeros method
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Universidade Federal de Minas Gerais
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Artigo de periódico
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Resumo
The use of partition function zeros in the study of phase transitions is growing in the last decade mainly due to improved
numerical methods as well as novel formulations and analysis. In this paper, the impact of different parameters choice for
the energy probability distribution (EPD) zeros that were recently introduced by Costa et al. is explored in search for optimal
values. Our results indicate that the EPD method is very robust against parameter variations and only small deviations on
estimated critical temperatures are found even for large variation of parameters, allowing one to obtain accurate results with
low computational cost. A proposal to circumvent potential convergence issues of the original algorithm is presented and
validated for the case where it occurs.
Abstract
Assunto
Transição de fase, Modelo de Ising
Palavras-chave
Phase transition, Potts model, Ising model, Function partition zeros, EPD zeros, Fisher zeros
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https://link.springer.com/article/10.1007/s13538-021-01021-3#citeas